activity
20162026
most citedTwo infinite series of moduli spaces of rank 2 sheaves on

23 citations · 24 across the 6 of their papers we have counts for

collaborators

7 papers

math.AC2026

Numerical invariants for three-generated ideals

Marcos Jardim, Felipe Monteiro, Abbas Nasrollah Nejad +1

We study numerical invariants of homogeneous ideals generated by three forms, with particular emphasis on the interaction between the initial degree of the syzygy module, the multi…

math.AG2025

Stability conditions for coherent systems on Integral Curves

Marcos Jardim, Leonardo Roa-Leguizamón, Renato Vidal Martins

We present stability conditions for the category of coherent systems on an integral curve. We define a three-parameter family of pre-stability conditions in its derived category us…

math.AG2025

Higher rank DT/PT wall-crossing in Bridgeland stability

Marcos Jardim, Jason Lo, Antony Maciocia +1

We prove that the Gieseker moduli space of stable sheaves on a smooth projective threefold of Picard rank 1 is separated from the moduli space of PT stable objects by a single…

math.AG2025

Modular Serre Correspondence via stable pairs

Marcos Jardim, Dapeng Mu

A stable pair on a projective variety consists of a sheaf and a global section subject to stability conditions parameterized by rational polynomials. We will show that for a smooth…

math.AG2024★ 1 cited

Instanton Sheaves on Ruled Fano 3-folds of Picard Rank 2 and Index 1

Ozhan Genc, Marcos Jardim

We study rank 2 -instanton sheaves on projective threefolds. We demonstrate that any orientable rank 2, non-locally free -instanton sheaf with defect 0 on a threefold can be…

math.AG2023

Rank-two reflexive sheaves on the projective space with second Chern class equal to four

Marcos Jardim, Alan Muniz

We study rank-two reflexive sheaves on with , expanding on previous results for . We show that every spectrum not previously ruled out is realized.…

math.AG2016★ 23 cited

Two infinite series of moduli spaces of rank 2 sheaves on

Marcos Jardim, Dimitri Markushevich, Alexander S. Tikhomirov

We describe new components of the Gieseker--Maruyama moduli scheme of semistable rank 2 sheaves on with , and wh…